Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11745266 |
| Fitting | C22×C8×C29 ⋊ C2 |
| Sylow | C29 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
476 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16819818, #16819820, #16820378, … |
| maximal normal subgroup of | #16819818, #16819820, #16820378, … |
| maximal quotient of | C2×#14271160, C2×#14271201, C2×C4×D232, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1331);